Approximate Solution of Operator Equations by M.A. Krasnosel’skii

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  • Title: Approximate Solution of Operator Equations
  • Author: M.A. Krasnosel’skii
  • Category: Mathematics
  • Date: December 2012
  • Lenguage: English
  • Pages: unknown
  • ISBN: 9401027153

 

Ebook description:

One of a very powerful chapters in trendy useful evaluation is the speculation of approximate strategies for resolution of varied mathematical issues. Besides offering significantly simplified approaches to numerical strategies, the concepts of useful evaluation have additionally given rise to basically new computation schemes in issues of linear algebra, differential and integral equations, nonlinear evaluation, and so forth. The common principle of approximate strategies consists of many recognized basic outcomes. We consult with the classical work of Kantorovich; the investigations of projection strategies by Bogolyubov, Krylov, Keldysh and Petrov, a lot furthered by Mikhlin and Pol’skii; Tikho­ nov’s strategies for approximate resolution of ill-posed issues; the final principle of distinction schemes; and so forth. During the previous decade, the Voronezh seminar on useful evaluation has systematically mentioned varied questions associated to numerical strategies; a number of superior programs have been held at Voronezh Uni­ versity on the applying of useful evaluation to numerical mathe­ matics. Some of this analysis is summarized within the current monograph. The authors’ purpose has not been to present an exhaustive account, even of the principal recognized outcomes. The e book consists of 5 chapters

 

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